SOLUTION: Write the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to 2x + y = -5. Include your work in your final answer.

Question 1148861: Write the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to 2x + y = -5. Include your work in your final answer.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Anything parallel to 2x + y = -5 will be of the form 2x + y = C, where C is some constant value.

In a more general sense, Ax + By = C is parallel to Ax + By = D when . For each equation mentioned, the 'A's and 'B's stay the same value. The only difference is the right hand sides change. If C = D, then the two lines are the same identical copy; otherwise we have parallel lines.

We want the second line to have an x-intercept of 2, so this means the point (2,0) is on the line. Plug x = 2 and y = 0 into the equation to compute C.

2x + y = C
2*2 + 0 = C
4 + 0 = C
4 = C
C = 4

Therefore, 2x + y = C updates to 2x + y = 4
Answer: 2x + y = 4

Side note: We can solve the original equation for y to get y = -2x - 5. We see the slope is -2. Do the same for the answer above and we get y = -2x+4. The slope is -2 as well. Parallel lines always have equal slopes.

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